First-order linear logic without modalities is NEXPTIME-hard
MFPS '92 Selected papers of the conference on Meeting on the mathematical foundations of programming semantics, part I : linear logic: linear logic
The principles of mathematics revisited
The principles of mathematics revisited
Propositional computability logic I
ACM Transactions on Computational Logic (TOCL)
Propositional computability logic II
ACM Transactions on Computational Logic (TOCL)
Theoretical Computer Science - Clifford lectures and the mathematical foundations of programming semantics
From truth to computability II
Theoretical Computer Science
Introduction to clarithmetic I
Information and Computation
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In a recently launched research program for developing logic as a formal theory of (interactive) computability, several very interesting logics have been introduced and axiomatized. These fragments of the larger Computability Logic aim not only to describe what can be computed, but also provide a mechanism for extracting computational algorithms from proofs. Among the most expressive and fundamental of these is CL4, known to be (constructively) sound and complete with respect to the underlying computational semantics. Furthermore, the ∀, &exists;-free fragment of CL4 was shown to be decidable in polynomial space. The present work extends this result and proves that this fragment is, in fact, PSPACE-complete.