3 citations · 3 across the 5 of their papers we have counts for
4 papers · 1 filter
A study of cut-elimination for a non-labelled cyclic proof system for propositional dynamic logics
Yukihiro Oda
Dynamic logic is a modal logic for reasoning about programs. A cyclic proof system is a proof system that allows proofs containing cycles and is an alternative to a proof system co…
Cyclic Proofs in Hoare Logic and its Reverse
James Brotherston, Quang Loc Le, Gauri Desai +1
We examine the relationships between axiomatic and cyclic proof systems for the partial and total versions of Hoare logic and those of its dual, known as reverse Hoare logic (or so…
Proof systems for partial incorrectness logic (partial reverse Hoare logic)
Yukihiro Oda
Partial incorrectness logic (partial reverse Hoare logic) has recently been introduced as a new Hoare-style logic that over-approximates the weakest pre-conditions of a program and…
The failure of cut-elimination in cyclic proof for first-order logic with inductive definitions
Yukihiro Oda, James Brotherston, Makoto Tatsuta
A cyclic proof system is a proof system whose proof figure is a tree with cycles. The cut-elimination in a proof system is fundamental. It is conjectured that the cut-elimination i…