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» On Modal Logics of Partial Recursive Functions
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CORR
2004
Springer
110views Education» more  CORR 2004»
13 years 4 months ago
On Modal Logics of Partial Recursive Functions
Abstract. The classical propositional logic is known to be sound and complete with respect to the set semantics that interprets connectives as set operations. The paper extends pro...
Pavel Naumov
JAR
2010
122views more  JAR 2010»
12 years 11 months ago
Partial and Nested Recursive Function Definitions in Higher-order Logic
Based on inductive definitions, we develop a tool that automates the definition of partial recursive functions in higher-order logic (HOL) and provides appropriate proof rules for ...
Alexander Krauss
AIML
2006
13 years 5 months ago
Dynamic topological logics over spaces with continuous functions
Dynamic topological logics are combinations of topological and temporal modal logics that are used for reasoning about dynamical systems consisting of a topological space and a con...
Boris Konev, Roman Kontchakov, Frank Wolter, Micha...
CADE
2006
Springer
14 years 4 months ago
Partial Recursive Functions in Higher-Order Logic
Abstract. Based on inductive definitions, we develop an automated tool for defining partial recursive functions in Higher-Order Logic and providing appropriate reasoning tools for ...
Alexander Krauss
TPHOL
2008
IEEE
13 years 10 months ago
A Type of Partial Recursive Functions
We describe a new method to represent (partial) recursive functions in type theory. For every recursive definition, we define a co-inductive type of prophecies that characterises...
Ana Bove, Venanzio Capretta