Indian logic is renowned for its exploration of non-classical logics, such as many-valued logic and paraconsistent logic, which challenge the traditional assumptions of Western logic.

Indian logic has made significant contributions to knowledge representation in Artificial Intelligence, particularly in the development of non-monotonic reasoning systems and the handling of uncertainty.

Nyaya, with its focus on logical reasoning and argumentation, has been a valuable resource for researchers in Artificial Intelligence seeking to develop systems that can engage in rational discourse and decision-making.

Indian logic has found applications in various aspects of natural language processing, including machine translation, text summarization, sentiment analysis, and question answering systems, by providing frameworks for reasoning about linguistic meaning and context.

Anvaya-vyatireka, the principle of concomitance and absence, has been utilized in database management systems to establish relationships between data items and enforce referential integrity constraints.

Indian logic has made notable contributions to software engineering by offering formal methods for software verification, aiding in the development of fault-tolerant systems, facilitating the design of secure software, and enabling the creation of self-healing software.

Mimamsa, with its focus on hermeneutics and the interpretation of sacred texts, has been influential in the study of epistemology and knowledge acquisition, particularly in the context of understanding how knowledge is derived from textual sources.

Indian logic has been successfully applied in linguistics to provide a framework for syntactic analysis, aid in the development of semantic theories, facilitate the study of pragmatics, and enable the investigation of language acquisition.

Arthapatti, the principle of postulation, has been employed in expert systems to represent and reason with uncertain knowledge by allowing the inference of a proposition based on its explanatory power.

Indian logic has made significant contributions to cognitive science by providing insights into the role of heuristics in reasoning, aiding in the study of biases and fallacies in decision-making, facilitating the investigation of cultural influences on cognition, and enabling the exploration of the relationship between language and thought.

Vedanta, with its focus on the nature of reality and the self, has been influential in the study of ethics and moral reasoning, particularly in the context of understanding the relationship between individual actions and their moral consequences.

Indian logic has been successfully applied in the field of law to provide a framework for legal reasoning, aid in the development of legal theories, facilitate the interpretation of legal documents, and enable the resolution of legal disputes.

Tarka, the principle of hypothetical reasoning, has been employed in decision support systems to handle missing or incomplete information by allowing the generation of plausible conclusions based on available evidence.

Indian logic has made significant contributions to the field of education by providing a framework for teaching logical fallacies, aiding in the development of curriculum for logic education, facilitating the design of interactive learning tools, and enabling the assessment of logical reasoning skills.

Vedanta, with its focus on the nature of Brahman and the relationship between the individual self and the universal self, has been influential in the study of metaphysics and the nature of reality.