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20242026
most citedSupermartingales for Unique Fixed Points: A Unified Approach to Lower Bound Verification

1 citations · 1 across the 5 of their papers we have counts for

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10 papers

cs.LO2026

Solving First-Order Fixed-Point Logics via a Least-to-Greatest Transformation Based on Game Semantics

Satoshi Kura, Hiroshi Unno

Fixed-point logics provide an expressive intermediate framework for reasoning about temporal properties of programs. One of the key approaches to solving their validity checking pr…

cs.LO2026

Formal Verification of Probing Security via Conditional Independence

Satoshi Kura, Katsuyuki Takashima

Side-channel attacks are a major threat to the security of cryptosystems. Masking is a widely used countermeasure against such attacks, but proving the security of masked algorithm…

cs.LO2026

A Hierarchy of Supermartingales for -Regular Verification

Satoshi Kura, Hiroshi Unno

We propose new supermartingale-based certificates for verifying almost sure satisfaction of -regular properties: (1) generalised Streett supermartingales (GSSMs) and their lexi…

cs.LO20261 cited

Supermartingales for Unique Fixed Points: A Unified Approach to Lower Bound Verification

Satoshi Kura, Hiroshi Unno, Takeshi Tsukada

Many quantitative properties of probabilistic programs can be characterized as least fixed points, but verifying their lower bounds remains a challenging problem. We present a new…

cs.LO2026

On Complete Categorical Semantics for Effect Handlers

Satoshi Kura

Soundness and completeness with respect to equational theories for programming languages are fundamental properties in the study of categorical semantics. However, completeness res…

cs.LO2026

A Category-Theoretic Framework for Dependent Effect Systems

Satoshi Kura, Marco Gaboardi, Taro Sekiyama +1

Graded monads refine traditional monads using effect annotations in order to describe quantitatively the computational effects that a program can generate. They have been successfu…