**Research**

NOTE:
Before 1994 the English spelling of my name was "Dzhaparidze",
the result of a two-step transliteration Georgian -> Russian -> English,
while the current "Japaridze" is a direct transliteration from
Georgian into English. Don't get confused if you need to look up my name in
some earlier literature.

- Main
Contributions to Science
- Publications
- Dissertations
- Impact
- Grants
and honors
- Technical
reports and unpublished papers
- Computability
Logic on the Web
- Scholarly profiles: SCI AMS DBLP Google ResearchGate

**Provability
and interpretability logics**

**(1985-1998)**

·
While a student, introduced *polymodal**
provability logic* ** GLP**,
and proved its arithmetical completeness. This contained a solution of an open
problem on the logic of w-provability
raised by George Boolos a decade earlier (1985-1988).

·
Introduced logic ** D** and proved its
arithmetical completeness (1987).

·
Extended Solovay's
theorems from propositional level to the one-variable predicate level, and
introduced the corresponding sound and complete logic ** GLq**
(1987).

·
Introduced the concepts of *cointerpretability*,
*tolerance*
and *cotolerance* (1992-1993).

·
Proved that cointerpretability
is equivalent to S_{1}-conservativity
and tolerance is equivalent to P_{1}-consistency.
This was an answer to the long-standing open problem regarding the metamathematical meaning of S_{1}-conservativity
(1992-1993).

· Introduced modal logics for tolerance and proved their arithmetical completeness (1993).

· Introduced a modal logic for the arithmetical hierarchy and proved its arithmetical completeness (1994).

**Game
semantics and the theory of interactive computation**

**(1997-present)**

·
Introduced the ** Logic of Tasks** (2000-2002).
It later became a part of computability logic on one hand, and a part of
abstract game semantics on the other hand.

·
Introduced and started elaborating ** Computability
Logic**. This is work with a beginning but no end. An
ambitious program and platform for redeveloping logic as a formal theory of
(interactive) computability, as opposed to the formal theory of truth that it
has more traditionally been (2003-2007).

· Proved the soundness and completeness of intuitionistic logic with respect to the semantics of computability logic, thus corroborating Kolmogorov's (1932) well known yet rather abstract thesis, according to which intuitionistic logic is a logic of problems (2006-2007).

·
Introduced *Abstract Resource Semantics*
(2006).

**Proof
theory and deep inference**

**(2006-present)**

- Introduced the new proof-theoretic framework called
*Cirquent*(2006-2007).*Calculus*

**Complexity
theory**

**(2010-present)**

- Introduced
*Clarithmetics* --- computability-logic-based formal arithmetics for various computational complexity classes.

*G.Japaridze**,*

Introduction to clarithmetic III

**Annals of Pure and Applied Logic**165 (2014), pp. 241-252.

Official journal version Online preprint*G.Japaridze**,*

The taming of recurrences in computability logic through cirquent calculus, Part II

52 (2013), pp. 213-259.**Archive for Mathematical Logic**

Official journal version Online preprint Authors official copy*G.Japaridze**,*

The taming of recurrences in computability logic through cirquent calculus, Part I

52 (2013), pp. 173-212.**Archive for Mathematical Logic**

Official journal version Online preprint Authors official copy*G.Japaridze**,*

Ptarithmetic

8 (2013), Article 5, pp. 1-186.**The Baltic International Yearbook on Cognition, Logic and Communication**

Official journal version (free access)*G.Japaridze**,*

A new face of the branching recurrence of computability logic

25 (2012), pp. 1585-1589.**Applied Mathematics Letters**

Official journal version Online preprint*G.Japaridze**,*

A logical basis for constructive systems

**Journal of Logic and Computation**22 (2012), pp. 605-642.

Official journal version (free access)*G.Japaridze**,*

Separating the basic logics of the basic recurrences

**Annals of Pure and Applied Logic**163 (2012), pp. 377-389.

Official journal version Online preprint*G.Japaridze**,*

Introduction to clarithmetic I

**Information and Computation**209 (2011), pp. 1312-1354.

Official journal version Online preprint*G.Japaridze**,*

From formulas to cirquents in computability logic

**Logical Methods is Computer Science**7 (2011), Issue 2 , Paper 1, pp. 1-55.

Official journal version (free access)*G.Japaridze**,*

Toggling operators in computability logic

**Theoretical Computer Science**412 (2011), pp. 971-1004.

Official journal version Online preprint*G.Japaridze**,*

Towards applied theories based on computability logic

**Journal of Symbolic Logic**75 (2010), pp. 565-601.

Official journal version Online preprint*G.Japaridze**,*

*Many concepts and two logics of algorithmic reduction*

**Studia Logica**91 (2009), No.1, pp. 1-24.

Official journal version Online preprint*G.Japaridze**,*

*In the beginning was game semantics*

**Games: Unifying Logic, Language and Philosophy.**O. Majer, A.-V. Pietarinen and T. Tulenheimo, eds. Springer 2009, pp. 249-350.

Official book version Online preprint*G.Japaridze**,*

Sequential operators in computability logic

**Information and Computation**206 (2008), No.12, pp. 1443-1475.

Official journal version Online preprint*G.Japaridze**,*

*Cirquent**calculus deepened*

**Journal of Logic and Computation**18 (2008), No.6, pp. 983-1028.

Official journal version (free access)*G.Japaridze**,*

*The intuitionistic fragment of computability logic at the propositional level*

**Annals of Pure and Applied Logic**147 (2007), No.3, pp. 187-227.

Official journal version Online preprint*G.Japaridze*,

*The logic of interactive Turing reduction*

**Journal of Symbolic Logic**72 (2007), No.1, pp. 243-276.

Official journal version Online preprint*G.Japaridze*,

*Intuitionistic computability logic*

**Acta Cybernetica**18 (2007), No. 1, pp. 77-113.

Official journal version Online preprint*G.Japaridze**,*

*From truth to computability II*

**Theoretical Computer Science**379 (2007), pp. 20-52.

Official journal version Online preprint*G.Japaridze**,*

*From truth to computability I*

**Theoretical Computer Science**357 (2006), pp. 100-135.

Official journal version Online preprint*G.Japaridze**,*

*Introduction to cirquent calculus and abstract resource semantics*

**Journal of Logic and Computation**16 (2006), No.4, pp. 489-532.

Official journal version Online preprint*G.Japaridze**,*

*Computability logic: a formal theory of interaction*

**Interactive Computation: The New Paradigm.**D.Goldin, S.Smolka and P.Wegner, eds. Springer Verlag, Berlin 2006, pp. 183-223.

Official book version Online preprint*G.Japaridze**,*

*Propositional computability logic II*

**ACM Transactions on Computational Logic**7 (2006), No. 2, pp. 331-362.

Official journal version Online preprint*G.Japaridze**,*

*Propositional computability logic I*

**ACM Transactions on Computational Logic**7 (2006) No.2, pp. 302-330.

Official journal version Online preprint*G.Japaridze**,*

*The simplest completeness proof in computability logic*

Vriendboek ofwel**Liber Amicorum**ter gelegenheid van het afscheid van**Dick de Jongh**. Institute for Logic, Language and Computation, University of Amsterdam, 2004. 7 pages.*G.Japaridze**,*

*A basic completeness theorem of CL.*

**Bulletin of the Georgian Academy of Sciences**169 (2004), No.1, pp. 34-36.*G.Japaridze**,*

*A basic soundness theorem of CL.*

**Bulletin of the Georgian Academy of Sciences**168 (2003), No.3, pp. 215-218.*G.Japaridze**,*

*Introduction to computability logic*

**Annals of Pure and Applied Logic**, vol. 123 (2003), p. 1-99.

Official journal version Online preprint*G.Japaridze**,*

*Some preliminary results on computability logic*

**Proceedings of Kalmar Workshop on Logic and Computer Science**. Szeged, Hungary, 2003. 15 pages.*G.Japaridze**,*

*What is the real logic of games after all?*

**Proceedings of the 3rd and 4th International Symposium on Language, Logic and Computation.**D. De Jongh, H.Zeevat and M Nilsenova (EDS.). ILLCScientific Publications, Amsterdam, 2002, pp. 243-257.*G.Japaridze**,*

*Preliminary results on the basic predicate logic of racefree games.*

**Bulletin of the Georgian Academy of Sciences**165 (2002), No. 2, pp. 256-259.*G.Japaridze**,*

*Preliminary results on the basic propositional logic of racefree games.*

**Bulletin of the Georgian Academy of Sciences**165 (2002), No. 1, pp. 26-29.*G.Japaridze**,*

*The logic of tasks.*

**Annals of Pure and Applied Logic**117 (2002), pp. 261-293.

Official journal version Online preprint*G.Japaridze**,*

*A decidable substructural predicate logic with a natural semantics.*

**4th Tbilisi Symposium on Language, Logic and Computation**(abstracts) ILLC, University of Amsterdam / CLLS, Tbilisi State University, 2001, 5 pages.*G.Japaridze**,*

*A task semantics for the language of linear logic*

**Bulletin of the Georgian Academy of Sciences**163, No. 1 (2001), pp. 5-7.*G.Japaridze**,*

*The propositional logic of elementary tasks*

**Notre Dame Journal of Formal Logic**41 (2000), No. 2, pp. 171-183.

Official journal version Online preprint*G.Japaridze**,*

*A decidable first order epistemic logic*

**Proceedings of the Georgian Academy of Sciences**No. 1-2 (2000), pp. 81-95.*G.Japaridze**and D.DeJongh*

*The logic of provability*.

**Handbook of Proof Theory**, S.Buss, ed., North-Holland, 1998, pp. 475-545.

Official book version Online preprint*G.Japaridze**,*

*A constructive game semantics for the language of linear logic.*

**Annals of Pure and Applied Logic**85 (1997), No. 2, pp. 87-156.

Official journal version Online preprint*G.Japaridze**,*

*A simple proof of arithmetical completeness for Pi-1 conservativity logic.*

**Notre Dame Journal of Formal Logic**35 (1994), No. 3. pp. 346-354.

Official journal version Online preprint*G.Japaridze**,*

*The logic of the arithmetical hierarchy.*

**Annals of Pure and Applied Logic**66 (1994), No. 2, pp. 89-112.*G.Japaridze**,*

*A generalized notion of weak interpretability and the corresponding modal logic.*

**Annals of Pure and Applied Logic**61 (1993), No. 1-2, pp. 113-160.*G.Japaridze**,*

*The logic of linear tolerance.*

**Studia Logica**51 (1992), No. 2, pp. 249-277.

Official journal version Online preprint*G.Japaridze**,*

*Predicate provability logic with non-modalized quantifiers.*

**Studia Logica**50 (1991), No. 1, pp. 149-160.

Official journal version Online preprint*G.Japaridze**,*

*Semidecidable**fragments of first order provability logic.*

**Semantical****Analysis of Non-classical Logics**. Tbilisi, Metsniereba, 1991, pp. 63-79*G.Japaridze**,*

*The logic of generalized weak interpretability.*

**Bulletin of the Academy of Sciences of the Georgian SSR**143 (1991), No. 3, pp. 233-235.*G.Japaridze**,*

*The propositional logic of truth and provability.*

**Logic and Philosophic Essays**. Moscow, 1991, pp. 43-52 (Russian).*G.Japaridze**,*

*Decidable and enumerable predicate logics of provability.*

**Studia Logica**49 (1990), No. 1, pp. 7-21.

Official journal version Online preprint*S.Artemov**and G.Japaridze,*

*Finite Kripke models and predicate logics of provability*.

**Journal of Symbolic Logic**55 (1990), No. 3, pp. 1090-1098.

Official journal version Online preprint*G.Japaridze**,*

*Provability logic with modalities for arithmetical complexities.*

**Bulletin of the Academy of Sciences of the Georgian SSR**138 (1990), No. 3, pp. 481-484.*G.Japaridze**,*

*On predicate provability logics of nonenumerable theories.*

**Suslin****Mathematical Readings**. Saratov, 1989, p. 84 (Russian).*G.Japaridze**,*

*The polymodal logic of provability.*

**Intensional****Logics and Logical Structure of Theories**. Metsniereba, Tbilisi, 1988, pp. 16-48 (Russian).*G.Japaridze**,*

*The arithmetical completeness of provability logic with quantifier modalities.*

**Bulletin of the Academy of Sciences of the Georgian SSR**132 (1988), No. 2, pp. 265-268.*G.Japaridze**,*

*Quantifiers over realizations in provability logic.*

**Semiotical****Aspects of Formalization of the Intellectual Activity**. Moscow, 1988, pp. 81-83 (Russian).*G.Japaridze**,*

*Quantifier modalities in provability logic.*

**Proceedings of the 9th All Union Conference on Mathematical Logic**. Leningrad, 1988, p. 51 (Russian).*S.Artemov**and G.Japaridze,*

*On effective predicate logics of provability.*

**Doklady****AN SSSR**(now Dokady Mathematics) 297 (1987), No. 3, pp. 521-523 (Russian).

English translation in:**Soviet Math. Doklady**36, pp.478-480.*G.Japaridze**,*

*Generalized provability principles and modal logic.*

**Proceedings of the 8th International Congress on Logic, Methodology and Philosophy of Science**. Moscow, 1987, volume 5, Part 1, pp. 32-34.*G.Japaridze**and L.Mchedlishvili,*

Gottlob Frege: Begriffshrift

**Methods for Research in Logic**, Metsniereba, Tbilisi, 1987, pp. 83-151 (Russian).*G.Japaridze**,*

*Proof theory and some modal systems.*

**Methods of Logic Research**. Tbilisi, Metsniereba, 1986, pp. 39-47 (Russian).*G.Japaridze**,*

*Modal logical means of studying provability*

Autoreferat of the candidate's thesis. Moscow State University, Moscow, 1986, 20 pages.*G.Japaridze**,*

*Some modal systems with provability interpretation of the necessity operator.*

**Logic and Methods of Analysis of the Scientific Knowledge**. Moscow, 1986, pp. 18-19 (Russian).*G.Japaridze**,*

*GL as the intersection of truth provability logics.*

**Proceedings of the 8th All Union Conference on Mathematical Logic**. Moscow, 1986, p. 58 (Russian).*G.Japaridze**,*

*Provability principles and extensions of arithmetic.*

**Nonstandard Semantics of Nonclassical Logics**. Moscow, 1986, pp. 89-98 (Russian).*G.Japaridze**,*

*Necessity as provability.*

**Izvestia****(Annals) of the Academy of Sciences of the Georgian SSR**(Philosophy and Psychology), 1986, No. 3, pp. 34-44 (Russian).*G.Japaridze**,*

*N-provability reflected in a modal logic with infinitely many modal operators.*

**Proceedings of the 4th Soviet-Finnish Symposium on Logic**. Tbilisi, 1985, pp. 56-57 (Russian).

*G.Japaridze**,*

*Modal-logical Means of Studying Provability.*

**Ph.D. Thesis**. Moscow State University, Moscow, 1987, 118 pages (Russian).*G.Japaridze**,*

*The Logic of Resources and Tasks.*

**PhD Thesis**. University of Pennsylvania, Philadelphia, 1998, 145 pages.

The following is a list of other authors
papers title-focused on one of the following 4 brainchildren of mine:

** GLP **(1985),

*F.Pakhomov**,*

**On the complexity of the closed fragment of Japaridze's provability logic**.

Archive for Mathematical Logic 53 (2014), pp. 949-967.*D.Fernandez**-Duque and J.Joosten,*

**Well-orders in the transfinite Japaridze algebra**.

Logic Journal of the IGPL 22 (2014), pp. 933-963.*W.Xu**,*

**A propositional system induced by Japaridze's approach to IF logic**.

Logic Journal of the IGPL 22 (2014), pp. 982-991.*M.Bauer**,*

**The computational complexity of propositional cirquent calculus**.

**Logical Methods is Computer Science**(in press), 2014.*M.Bauer**,*

**A PSPACE-complete first order fragment of computability logic**.

**ACM Transactions on Computational Logic**15 (2014), No 1, Paper 1.*K.Kwon*,

**Expressing algorithms as concise as possible via computability logic**.

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, vol. E97-A (2014), pp. 1385-1387.*W.Xu**,*.

A cirquent calculus system with clustering and ranking

**arXiv:****1409.3290 (2014)****.***F.Pakhomov**,*.

On elementary theories of GLP-algebras

**arXiv:****1412.4439 (2014)****.***M.Qu**,*

**Research on the toggling-branching recurrence of Computability Logic**.

**PhD Thesis. Shandong University, 2014.***D.Shamkanov**,*.

Nested Sequents for Provability Logic GLP

**arXiv:****1410.6652 (2014)****.***W.Xu**,*

**A Study of Cirquent Calculus Systems for Computability Logic******.

**Research prposal funded by the National Science Foundation of China (61303030) and the Fundamental Research Funds for the Central Universities of China (K50513700). Xidian University, 2013-2016.***L.Beklemishev**and D.Gabelaia,*

**Topological completeness of provability logic GLP******.

**Annals of Pure and Applied Logic****164 (2013), pp. 1201-1223.***M.Qu**, J.Luan*,*D.Zhu**and**M.Du**,*

**On the toggling-branching recurrence of computability logic**.

Journal of Computer Science and Technology 28 (2013), pp. 278-284.*W.Xu**and S.Liu*,

**The parallel versus branching recurrences in computability logic**.

Notre Dame Journal of Formal Logic 54 (2013), pp. 61-78.*C.Yu**and W.Zhou*,

**Hierarchy organization model based on the logic of tasks**.

Applied Mechanics and Materials 310 (2013), pp. 644-649.*W.Zhang**, L.Zeng and S.Li*,

**Coordinative relationship model for groups organization based on the description logic of tasks**.

Computer Engineering and Science 35:1 (2013).*Y.Zhang**,*

**Time and Space Complexity Analysis for the System CL2 of Computability Logic**.

MS Thesis (Chinese). Shandong University, 2013.*W.Xu**,*

**On Some Operators and Systems of Computability Logic**.

PhD Thesis (Chinese). Xidian University, 2012.*W.Xu**and S.Liu*,

**The countable versus uncountable branching recurrences in computability logic**.Journal of Applied Logic 10 (2012), pp. 431-446.

*W.Xu**and S.Liu*,

******Soundness and completeness of the cirquent calculus system CL6 for computability logic******.

Logic Journal of the IGPL 20 (2012), pp. 317-330.*W.Xu**and S.Liu*,

******Cirquent calculus system CL8S versus calculus of structures system SKSg for propositional logic******.

In: Quantitative Logic and Soft Computing. Guojun Wang, Bin Zhao and Yongming Li, eds. Singapore, World Scientific, 2012, pp. 144-149.*F.N**. Pakhomov*,

******Undecidability****of the elementary theory of the semilattice of GLP-words****.**

Matematicheskii Sbornik 203 (2012), pp. 141-160.*E.V**. Dashkov,*

******On the positive fragment of the polymodal provability logic GLP**.

Mathematical Notes*2012*;*91*:*318*-*333*.*D. Fernαndez-Duque and J.J.Joosten,*

******Well-founded orders on the transfinite Japaridze algebra II**.

arXiv:1204.4743 (2012)*W.Zhang**, L.Zeng, H.Zhang and S.Li,*

******Collaboration in digital games: An approach to the description logic of tasks**.

Journal of Computer Research and Development 49:7 (2012).*L.Beklemishev*,

**A simplified proof of arithmetical completeness theorem for provability logic GLP**.

Proceedings of the Steklov Institute of Mathematics 274 (2011), pp. 25-33.*L.Beklemishev*,

**Ordinal completeness of bimodal provability logic GLB**.

Lecture Notes in Computer Science 6618 (2011), pp. 1-15.*D.S.Shamkanov*,.

Interpolation properties for provability logics GL and GLP

Proceedings of the Steklov Institute of Mathematics 274 (2011), pp. 303-316.*L.Min**, Y.Liu and X.Chen*,

**Analysis of deterministic finite automata in computability logic******.

__Journal of Chongqing University of Posts and Telecommunications (Natural Science Edition)__23:6 (2011), pp. 80-82.*X.Ma*,

**On theorems in system CL4 of computability logic******.

Journal of Xian Institute of Posts and Telecommunications 16:5 (2011), pp. 80-82.*I.Mezhirov**and N.Vereshchagin*,.

On abstract resource semantics and computability logic

Journal of Computer and Systems Sciences 76 (2010), pp. 356-372.*L.Beklemishev*,

****.

**Annals of Pure and Applied Logic****161**.*L.Beklemishev**, G. Bezhanishvili and T. Icar,*

**On topological models of GLP******.

Ways of proof theory, Ontos Mathematical Logic, 2, eds. R. Schindler, Ontos Verlag, Frankfurt, 2010,pp. 133153 .*L.Beklemishev*,

**On the Craig interpolation and the fixed point properties of GLP******.

Proofs, Categories and Computations*W.Xu**and S.Liu*,

**Deduction theorem for symmetric cirquent calculus**

Advances in Intelligent and Soft Computing 82 (2010), pp. 121-126.*W.Zhang**, L.Zeng, H.Zhang and S.Li,*

**Task planning based on the description logic of tasks in joint operation scenarios**

Journal of Software 21 (2010), pp.140−148.*W.Xu**and S.Liu*,

**Knowledge representation and reasoning rased on computability logic**

*L.Beklemishev*,

**On GLP-spaces******.

*I. Shapirovsky*,

**"PSPACE-decidability of Japaridze's polymodal logic"**.

Advances in Modal Logic 7 (2008), pp. 289-304.*L.Beklemishev*,

**A simplified proof of arithmetical completeness theorem for provability logic GLP**.

Proceedings of the Steklov Institute of Mathematics 274 (2011), pp. 25-33.*N.Vereshchagin*,

**"Japaridze's computability logic and intuitionistic propositional calculus****"**.

Moscow State University preprint (Russian), 2006.*G.Wang**and W.Xu,*

**"****Theorems in the logic of tasks****".**

Fuzzy Systems and Mathematics*H.Zhang**and S.Li,*

**"****The description logic of tasks: from theory to practice****".**

Chinese Journal of Computers

*L.D**. Beklemishev, J.J. Joosten and M. Vervoort,*

**"A finitary treatment of the closed fragment of Japaridze's provability logic".**

Journal of Logic and Computation 15 (2005), No 4, pp. 447-463.*W.Xu**,*

**"****The logic of tasks****".**

MS Thesis (Chinese). Shaanxi Normal University, 2004.*G.Wang**and W.Xu,*

**"****From the logic of facts to the logic of tasks****".**

Fuzzy Systems and Mathematics*G. Boolos,*

**"****The analytical completeness of Japaridze's polymodal logics**".

Annals of Pure and Applied Logic 61 (1993), pp. 95-111.

*K. Ignatiev,*

**"****The closed fragment of Japaridze's polymodal logic and the logic of Sigma-1 conservativity****".**

ITLI Prepublication Series for Mathematical Logic and Foundations, X-92-02, University of Amsterdam, 1992.

*K. Ignatiev,*

**"****Japaridze's****polymodal****logic: arithmetical completeness, fixed point property, Craig's property****".**

ITLI Prepublication Series for Mathematical Logic and Foundations, X-90-13, University of Amsterdam, 1990.

(Principal Investigator without co-PIs)

- Outstanding Foreign Experts Program grant (China)
- Duration: Summer 2012
- Summer Research Fellowship and Grant from Villanova
University
- Project title:
"Taming recurrences in computability logic".
- Duration: Summer 2010
- Summer Research Fellowship and Grant from Villanova
University
- Project title:
"Intuitionistic computability logic".
- Duration: Summer 2005
- NSF grant CCR-0208816 (Theory of Computing Program)
- Project title: "A logical
study of interactive computational problems understood as games".
- Duration: July 1, 2002
- June 30, 2006.
- Summer Research Fellowship from Villanova University
- Project title:
"The logic of informational games"
- Duration: Summer 1999
- Dean's Fellowship from the University of
Pennsylvania
- Duration: 1994-95
- Smullian Fellowship from Indiana
University 1994 (declined by the
recipient)
- Duration: 1994-1998
- Postdoctoral fellowship
from the Dutch government
- Duration: 1992-93
- Medal and Prize from the Georgian Academy of Sciences
for the best student research paper:
- 1982

**Technical Reports and
Unpublished Papers**** **

*On the system CL12 of computability logic.*arXiv:203.0103. 2013. 55 pages.*On resources and tasks*. arXiv:1312.3372. 2013. 20 pages.*The taming of recurrences in computability logic through cirquent calculus, Part II.*arXiv:1106.3705. 2011. 36 pages.*The taming of recurrences in computability logic through cirquent calculus, Part I.*arXiv:1105.3853. 2011. 31 pages.*A new face of the branching recurrence of computability logic.*arXiv:1102.1054. 2011. 6 pages.*Introduction to clarithmetic III.*arXiv:1008.0770. 10 pages.*Introduction to clarithmetic II.*arXiv:1004.3236. 2010. 28 pages.*Introduction to clarithmetic I.*arXiv:1003.4719. 2010. 52 pages.*A logical basis for constructive systems.*arXiv:1003.0425. 2010. 30 pages.*Separating the basic logics of the basic recurrences.*arXiv:1007.1324. 2010. 18 pages.*From formulas to cirquents in computability logic.*arXiv:0906.2154. 2009. 42 pages.*Toggling operators in computability logic.*arXiv:0904.3469. 2009. 43 pages.*Ptarithmetic**.*arXiv:0902.2969. 2009. 103 pages.*Towards applied theories based on computability logic.*arXiv:0805.3521. 2008. 30 pages.*Sequential operators in computability logic**.*arXiv:0712.1345, 2007. 40 pages.*Cirquent**calculus deepened*.*Many concepts and two logics of algorithmic reduction.*arXiv:0706.0103, 2007. 15 pages.*The intuitionistic fragment of computability logic at the propositional level.*arXiv:cs.LO/0602011, 2006. 59 pages.*The logic of interactive Turing reduction.*arXiv:cs.LO/0512100, 2005. 38 pages.*In the beginning was game semantics.*arXiv:cs.LO/0507045, 2005. 76 pages.*Introduction to cirquent calculus and abstract resource semantics.*arXiv:math.LO/0506553, 2005. 50 pages.*Intuitionistic computability logic.*arXiv:cs.LO/0411008, 2004. 25 pages.*From truth to computability II.*arXiv:cs.LO/0501031, 2005. 34 pages.*From truth to computability I.*arXiv:cs.LO/0407054, 2004. 64 pages.*Computability logic: a formal theory of interaction.*arXiv:cs.LO/0404024, 2004. 26 pages.*Propositional computability logic II.*arXiv:cs.LO/0406037, 2004. 25 pages.*Propositional computability logic I.*arXiv:cs.LO/0404023, 2004. 22 pages.*A formalism for resource-oriented planning.*IRCS Technical Reports 98-01 (1998), 38 pages.*A decidable predicate logic of knowledge.*IRCS Technical Reports 96-06 (1996), 20 pages.- (With D.DeJongh)
*The logic of provability.*ILLC Prepublication Series for Mathematical Logic and Foundations ML-1997-01. *Effective truth.*In: ILLC Prepublication Series for Mathematical Logic and Foundations ML-93-15 (1993), 25 pages.*The logic of tolerance.*ILLC Prepublication Series for Mathematical Logic and Foundations, X-1991-08.*The notion of truth in formalized languages.**My bachelors thesis in Georgian, 1983.**Determinism and freedom of will.*This philosophical paper, written in Georgian, brought me the highest annual prize for student research in Georgia called**"Medal from the Academy of Sciences of the Georgian SSR"**in 1982. I have never tried to publish the manuscript, although I regard it as the most important of my works. I am thinking of getting back to that exciting field in the (perhaps not very near) future and writing a book.

- Computability
Logic Homepage http://www.cis.upenn.edu/~giorgi/cl.html
- Game Semantics
or Linear Logic? http://www.csc.villanova.edu/~japaridz/CL/gsoll.html
- Lecture Course
on Computability Logic http://www.csc.villanova.edu/~japaridz/CL/clx.html
- Lambda the Ultimate:
Introduction to computability logic
- Lambda the Ultimate:
In the beginning was game semantics
__On abstract resource semantics and computabilty logic__(video lecture by N.Vereshchagin)