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Bhaskar Krishnamachari

Bhaskar Krishnamachari

·

Oct 19

Byzantine Fault Tolerant Consensus under Synchrony: Signed Rotating Coordinators (Consensus part 4)

From broadcasting to voting

Byzantine Fault Tolerant Consensus under Synchrony: Signed Rotating Coordinators (Consensus part 4)

Bhaskar Krishnamachari

·

Oct 18

Byzantine Fault Tolerant Consensus under Synchrony: Signed FloodSet (Consensus part 3)

From crashes to lies

Byzantine Fault Tolerant Consensus under Synchrony: Signed FloodSet (Consensus part 3)

Bhaskar Krishnamachari

·

Oct 17

Simple Consensus under Synchrony and Crash Faults (Consensus part 2)

Consensus is one of the fundamental problems in distributed computing. A collection of computers must agree on a single value, even though…

Simple Consensus under Synchrony and Crash Faults (Consensus part 2)

Bhaskar Krishnamachari

·

Oct 13

Why Consensus Fails in Asynchronous Systems with Faults: A simple example (Consensus part 1)

The FLP theorem, proved by Fischer, Lynch, and Paterson in 1983, is one of the landmark results in distributed computing. In plain terms…

Why Consensus Fails in Asynchronous Systems with Faults: A simple example (Consensus part 1)

Bhaskar Krishnamachari

·

Aug 9

Growing the Lotus of Our Mind: Pasuram 1.1.2 of Nammāḻvār’s Tiruvāymoḻi

One of the greatest works of devotional poetry is the Vaishnava poet-saint Nammāḻvār’s Tiruvāymoḻi (Sacred Utterances). I spent this…

Growing the Lotus of Our Mind: Pasuram 1.1.2 of Nammāḻvār’s Tiruvāymoḻi

Bhaskar Krishnamachari

·

Apr 25

AI Safety as Cultivation: Yogacara, Seeds, and Reflective Self-Evolving Systems

Yogacara (Yogācāra, pronounced yo-gaa-chaa-ra) is one of the major philosophical schools of Mahayana Buddhist thought. It is classically…

AI Safety as Cultivation: Yogacara, Seeds, and Reflective Self-Evolving Systems

Bhaskar Krishnamachari

·

Sep 2, 2025

On Consciousness — Thirty Verses by Vasubandhu: a modern rendering

The Buddhist philosopher and teacher Vasubandhu lived around the 4th-5th century CE in the North-West of India, in Gandhara. He was a…

On Consciousness — Thirty Verses by Vasubandhu: a modern rendering

Bhaskar Krishnamachari

·

Jul 14, 2024

Understanding Zero-Knowledge Proofs: Part 6-Quadratic Arithmetic Programs

In the previous article (part 5) in this series on zk-SNARKs, we looked at how computations that need verification can be first encoded in…

Equation describing basis polynomials for Lagrange interpolation.

Bhaskar Krishnamachari

·

Jul 14, 2024

Understanding Zero-Knowledge Proofs: Part 5-Arithmetic Circuits and R1CS

In previous posts, we have looked at some basics of zero-knowledge proofs for privacy-sensitive verifiable computation. In part 4 we looked…

Understanding Zero-Knowledge Proofs: Part 5-Arithmetic Circuits and R1CS

Bhaskar Krishnamachari

·

Jul 14, 2024

Understanding Zero-Knowledge Proofs: Part 4— Polynomial Commitments

In part 2 of this series, we went over some basic mathematical background needed for cryptography, namely finite fields, cyclic groups, and…

Block diagram illustrating the key elements KZG polynomial commitment scheme: trusted setup, prover, and verifier.

Bhaskar Krishnamachari

Bhaskar Krishnamachari

Professor of ECE at USC working on emerging technologies and their applications. Interested in eastern philosophy, history, and nature.

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