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cs.LO2024

Quantified Linear and Polynomial Arithmetic Satisfiability via Template-based Skolemization

Krishnendu Chatterjee, Ehsan Kafshdar Goharshady, Mehrdad Karrabi +3

The problem of checking satisfiability of linear real arithmetic (LRA) and non-linear real arithmetic (NRA) formulas has broad applications, in particular, they are at the heart of…

cs.PL2024

Sound and Complete Witnesses for Template-based Verification of LTL Properties on Polynomial Programs

Krishnendu Chatterjee, Amir Kafshdar Goharshady, Ehsan Kafshdar Goharshady +2

We study the classical problem of verifying programs with respect to formal specifications given in the linear temporal logic (LTL). We first present novel sound and complete witne…

cs.CR2024

Fully Automated Selfish Mining Analysis in Efficient Proof Systems Blockchains

Krishnendu Chatterjee, Amirali Ebrahimzadeh, Mehrdad Karrabi +3

We study selfish mining attacks in longest-chain blockchains like Bitcoin, but where the proof of work is replaced with efficient proof systems -- like proofs of stake or proofs of…

cs.AI2024

Certified Policy Verification and Synthesis for MDPs under Distributional Reach-avoidance Properties

S. Akshay, Krishnendu Chatterjee, Tobias Meggendorfer +1

Markov Decision Processes (MDPs) are a classical model for decision making in the presence of uncertainty. Often they are viewed as state transformers with planning objectives defi…

cs.AI2024

Solving Long-run Average Reward Robust MDPs via Stochastic Games

Krishnendu Chatterjee, Ehsan Kafshdar Goharshady, Mehrdad Karrabi +2

Markov decision processes (MDPs) provide a standard framework for sequential decision making under uncertainty. However, MDPs do not take uncertainty in transition probabilities in…