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CSL
2010
Springer
13 years 8 months ago
Untyping Typed Algebraic Structures and Colouring Proof Nets of Cyclic Linear Logic
Abstract. We prove "untyping" theorems: in some typed theories (semirings, Kleene algebras, residuated lattices, involutive residuated lattices), typed equations can be d...
Damien Pous
CADE
2005
Springer
14 years 7 months ago
The Decidability of the First-Order Theory of Knuth-Bendix Order
Two kinds of orderings are widely used in term rewriting and theorem proving, namely recursive path ordering (RPO) and Knuth-Bendix ordering (KBO). They provide powerful tools to p...
Ting Zhang, Henny B. Sipma, Zohar Manna
CADE
2003
Springer
14 years 7 months ago
Proof Search and Proof Check for Equational and Inductive Theorems
This paper presents on-going researches on theoretical and practical issues of combining rewriting based automated theorem proving and user-guided proof development, with the stron...
Eric Deplagne, Claude Kirchner, Hélè...
TAP
2010
Springer
134views Hardware» more  TAP 2010»
13 years 5 months ago
Testing First-Order Logic Axioms in Program Verification
Program verification systems based on automated theorem provers rely on user-provided axioms in order to verify domain-specific properties of code. However, formulating axioms corr...
Ki Yung Ahn, Ewen Denney
CLIMA
2004
13 years 9 months ago
Metareasoning for Multi-agent Epistemic Logics
Abstract. We present an encoding of a sequent calculus for a multiagent epistemic logic in Athena, an interactive theorem proving system for many-sorted first-order logic. We then ...
Konstantine Arkoudas, Selmer Bringsjord