Agent based mathematical reasoning

Abstract In this contribution we propose an agent architecture for theorem proving which we intend to investigate in depth in the future. The work reported in this paper is in an early state, and by no means finished. We present and discuss our proposal in order to get feedback from the Calculemus community.

[1]  H. Simon,et al.  Models of Bounded Rationality: Empirically Grounded Economic Reason , 1997 .

[2]  Jörg Denzinger.  Knowledge-Based Distributed Search Using Teamwork , 1995, ICMAS.

[3]  Erica Melis,et al.  A Model of Analogy-Driven Proof-Plan Construction , 1995, IJCAI.

[4]  Xiaorong Huang,et al.  Proof Verbalization in PROVERB , 1999 .

[5]  Ingo Dahn,et al.  Integration of Automated and Interactive Theorem Proving in ILP , 1997, CADE.

[6]  Volker Sorge,et al.  Agent-Oriented Integration of Distributed Mathematical Services , 1999, J. Univers. Comput. Sci..

[7]  John McCarthy,et al.  SOME PHILOSOPHICAL PROBLEMS FROM THE STANDPOINT OF ARTI CIAL INTELLIGENCE , 1987 .

[8]  Andreas Wolf.  p-SETHEO: Strategy Parallelism in Automated Theorem Proving , 1998, TABLEAUX.

[9]  Christoph Benzmüller,et al.  System Description: LEO - A Higher-Order Theorem Prover , 1998, CADE.

[10]  Volker Sorge,et al.  A Blackboard Architecture for Guiding Interactive Proofs , 1998, AIMSA.

[11]  Rodney A. Brooks,et al.  Intelligence Without Reason , 1991, IJCAI.

[12]  J. Denzinger,et al.  Cooperating Theorem Provers , 1998 .

[13]  A. Bundy.  A subsumption architecture for theorem proving? , 1994, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

[14]  Richard Fikes,et al.  STRIPS: A New Approach to the Application of Theorem Proving to Problem Solving , 1971, IJCAI.

[15]  Volker Sorge,et al.  Critical Agents Supporting Interactive Theorem Proving , 1999, EPIA.

[16]  Aaron Sloman,et al.  7. Architectural Requirements for Human-Like Agents Both Natural and Artificial: What sorts of machines can love? , 2000 .

[17]  Ian Green,et al.  System description : Proof planning in higher-order logic with λ Clam , 1998 .

[18]  Alan Bundy,et al.  The Use of Explicit Plans to Guide Inductive Proofs , 1988, CADE.

[19]  Volker Sorge,et al.  Omega: Towards a Mathematical Assistant , 1997, CADE.